Home / 1,821.60-2,732.64-523.20

Finding the Fourth Proportional to 1,821.60, 2,732.64 and 523.20

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Solution

The fourth proportional to 1,821.60, 2,732.64 and 523.20 is: 784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.60 : 2,732.64 = 523.20 : x
  2. Step 2: Convert to fraction form
    1,821.60/2,732.64 = 523.20/x
  3. Step 3: Cross multiply
    1,821.60x = 2,732.64 × 523.20
  4. Step 4: Simplify right side
    1,821.60x = 1,429,717.25
  5. Step 5: Solve for x
    x = 1,429,717.25/1,821.60
  6. Step 6: Final answer
    x = 784.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.